1.

Record Nr.

UNINA9910151936303321

Autore

Daskalopoulos Panagiota

Titolo

Degenerate Diffusions [[electronic resource] ] : Initial Value Problems and Local Regularity Theory / / Panagiota Daskalopoulos, Carlos E. Kenig

Pubbl/distr/stampa

Zuerich, Switzerland, : European Mathematical Society Publishing House, 2007

ISBN

3-03719-533-9

Descrizione fisica

1 online resource (207 pages)

Collana

EMS Tracts in Mathematics (ETM) ; 1

Classificazione

35-xx

Soggetti

Differential equations

Partial differential equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

The book deals with existence, uniqueness, regularity and asymptotic behavior of solutions to the initial value problem (Cauchy problem) and the initial-Dirichlet problem for a class of degenerate diffusions modeled on the porous medium type equation ut = Δum, m ≥ 0, u ≥ 0. Such models arise in plasma physics, diffusions through porous media, thin liquid film dynamics as well as in geometric flows such as the Ricci flow on surfaces and the Yamabe flow. The approach presented to these problems is through the use of local regularity estimates and Harnack type inequalities, which yield compactness for families of solutions. The theory is quite complete in the slow diffusion case (m > 1) and in the supercritical fast diffusion case (mc < m < 1, mc = (n - 2)+/n) while many problems remain in the range m ≤ mc. All of these aspects of the theory are discussed in the book.   The book is addressed to both researchers and to graduate students with a good background in analysis and some previous exposure to partial differential equations.



2.

Record Nr.

UNISA996279467303316

Titolo

2013 82nd ARFTG Microwave Measurement Conference : Columbus, Ohio, USA, 18-21 November 2013

Pubbl/distr/stampa

IEEE

ISBN

1-4799-2935-2

Disciplina

621.381/3

Soggetti

Microwave measurements

Microwave circuits

Millimeter waves

Millimeter wave devices

Wireless communication systems - Design and construction

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia